denotes an odd prime, and further when

is a power of

or a power of an odd prime.

The law, as well as the means essential to its proof, will, I believe, result by suitably generalizing the theory of the field of the

th roots of unity,[23] developed by me, and my theory of relative quadratic fields.[24]

[23] Jahresber. d. Deutschen Math.-Vereinigung, "Ueber die Theorie der algebraischen Zahlkörper," vol. 4 (1897), Part V.